| Autor: |
De Falco, Maria, de Giovanni, Francesco, Musella, Carmela |
| Zdroj: |
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry; 20230101, Issue: Preprints p1-9, 9p |
| Abstrakt: |
It is known that if Gis a group such that the centre factor group G/ζ(G)is polycyclic, then also the commutator subgroup G′is polycyclic. The aim of this paper is to describe this situation from a lattice point of view. It is proved that if Gis a group admitting a permodularly embedded non-periodic subgroup Psuch that the interval [G/P] is a polycyclic lattice, then Gcontains a polycyclic normal subgroup Nsuch that G/Nis quasihamiltonian. |
| Databáze: |
Supplemental Index |
| Externí odkaz: |
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